The inequality that describes the scenario will be; 35 + 12C ≥ 100.
The minimum number of classes a customer can take for Rebekah to meet her goal is 6
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
One-time initial fee = $35
Additional fee per class = $12
Minimum target = $100
Number of classes = C
One-time initial fee + (Additional fee per class) x (Number of classes) ≥ Minimum target
The inequality that describes the scenario will be;
35 + 12C ≥ 100
Then Solve for C to know the minimum number of classes a customer can take for Rebekah to meet her goal,
12C ≥ 100 - 35
12C ≥ 65
C ≥ 65 / 12
C ≥ 5.42
Thus, The minimum number of classes a customer can take for Rebekah to meet her goal is 6
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Please help ASAP!!!!!!!!
Answer:
Balance = $14,723.06
Step-by-step explanation:
Given:
Principal (P) = $15,000
Interest Rate (R) = 7.5%
Time (T) = ¹/12
Monthly payment = $185.49
Required:
Balance of the loan at the end of 3 months using the formula for simple interest.
SOLUTION:
[tex] I = \frac{P.T.R}{100*12} [/tex]
First Month:
Principal => $15,000
Add interest => [tex](\frac{15,000*7.5*1}{100*12} )[/tex] => $93.75
= $15,093.75
Less payment => $185.49
= $14,908.26
Second Month:
Principal => $14,908.26
Add interest => [tex](\frac{14,908.26*7.5*1}{100*12})[/tex] => $93.18
= $15,001.44
Less payment => $185.49
= $14,815.95
Third Month:
Principal => $14,815.95
Add interest => [tex](\frac{14,815.95*7.5*1}{100*12})[/tex] => $92.60
= $14,908.55
Less payment => $185.49
Balance = $14,723.06
Calculate the surface area of a cube when the length of a side a = 15cm.
Surface area = 6a^2
Answer:
[tex]\boxed{ \sf 1350 \ cm^2}[/tex]
Step-by-step explanation:
Surface area of a cube = 6a²
a = side length
The side length is given 15 cm.
[tex]6(15)^2[/tex]
[tex]6(225)[/tex]
[tex]1350[/tex]
The surface area of the cube is 1350 cm².
Find the value of x in the isosceles triangle shown below.
Answer:
sqrt of 41, or A
Step-by-step explanation:
You can cut the iscosles triangle into 2 right triangles as shown on the image, and the base of each will be 4, and the height 5.
The hypotenuse on a right triangle is the square root of the base squared added with the height squared, which would be 16+25, or 41. therefore, X is the sqrt of 41
Answer:
A. x = square root of 41
Step-by-step explanation:
The Mali Empire of West Africa was known far and wide for the great wealth of its rulers. The empire fell in the year 1610
Let x represent any year. Write an inequality in terms of x and 1610 that is true only for values of x that represent years after the year the Mali Empire fell.
Answer:
[tex]x > 1610[/tex]
Step-by-step explanation:
Given that the empire fell in 1610
Required
Represent years after the fall of the empire using inequality
From the question, we understand that
1. x represent years
2. The empire fell in 1610
This implies that, years before (and including) 1610 are invalid and we only have to consider years after 1610;
Years such as 1611, 1612, 1613.......
All the aforementioned years are greater than 1610;
The keyword is greater than 1610
And this can be represented as [tex]x > 1610[/tex]
solve the following inequality for v. 4v-8≤5v+5
[tex]\text{Solve for v:}\\\\4v-8\leq5v+5\\\\\text{Subtract 5v from both sides}\\\\-v-8\leq5\\\\\text{Add 8 to both sides}\\\\-v\leq13\\\\\text{Divide both sides by -1, while also flipping the inequality}\\\\\boxed{v\geq-13}[/tex]
Answer:
v>=-13
Step-by-step explanation:
4v-8<=5v+5
4v-5v-8<=5
-v-8<=5
-v<=5+8
-v<=13
v<=-13
v>=-13
The coefficient of 6x is
1
6
Х
Answer:
6
Step-by-step explanation:
If a number and a variable were together in a term, the number would the the coefficient. The coefficient would multiply the variable.
In '6x', the number '6' is the coefficient. '6' would be multiplying 'x'.
The correct answer should be 6.
PLEASE HELP ME WITHT HIS QUESTION I NEED IT FOR HOMEWORK!!!!!
Answer: the answers are both A and B
Step-by-step explanation:
square root of 64 is 8 and the square root is 225 is 15. It can be both positive and negative
Please help me asap! I will give brainly!
Answer:
Figure 4 : 9 by 4 rectangle
17 red squares is figure 8
51 yellow squares
The pattern is +2 for the length, and the width stays the same. Hope this helped. :)
Answer:
17 rojo
51 amarillo
en el dibujo son 11 rojos y 33 amarillo
Step-by-step eplanation:
Find the area of the figure at the right in square feet. (image attached)
Answer:
40.5 ft²
Step-by-step explanation:
*First we’ll split the shape into multiple smaller ones. The two ends make separate triangles while the middle makes a rectangle. From there you can solve for their areas.
*Each triangle is the same size, so when solving them, the area of one can just be duplicated. To find the height of each triangle, we take the total base of 8 ft and subtract the top 5.5 ft to get 2.5 ft. After that you’ll divide by 2 (for each triangle) so the height of each one is 1.25 ft.
Triangle:
A = 1/2bh
A = 1/2 (6) (1.25)
A = 3.75 ft²
Both triangles:
A = 3.75 (2)
A = 7.5 ft²
Rectangle:
A = lh
A = 5.5 (6)
A = 33 ft²
Total:
A = 7.5 + 33
A = 40.5 ft²
Answer:
Step-by-step explanation:
The shape can be broken down into 2 identical triangles and one rectangle.
Area of 2 triangles= 2(1/2×base×height)
= 2(1/2×6×2.5) = 15ft²
Area of Rectangle = length × breadth
= 6 × 5.5 = 33ft²
Area of figure = Area of 2 triangles + Area of Rectangle
= (15 + 33) ft² = 48ft²
Which function is the inverse of f(x) = -5x-4?
1
4
1
4
O 8(x)3x -
F () --3x+
O F1(x) = -4x+5
Of '(x) = 4x+4
Answer:
The inverse is -1/5x -4/5
Step-by-step explanation:
f(x) = -5x-4
y = -5x-4
Exchange x and y
x = -5y -4
Solve for y
Add 4 to each side
x+4 = -5y
Divide by -5
-1/5x -4/5 = -5y/-5
-1/5x -4/5 = y
The inverse is -1/5x -4/5
Answer:
[tex]\huge\boxed{f^{-1}(x) = -\frac{x+4}{5}}[/tex]
Step-by-step explanation:
[tex]f(x) = -5x-4[/tex]
Replace y = f(x)
[tex]y = -5x-4[/tex]
Exchange values of x and y
[tex]x = -5y -4[/tex]
Solve for y
[tex]x = -5y - 4[/tex]
Adding 4 to both sides
[tex]x + 4 = -5y[/tex]
Dividing both sides by -5
[tex]y = -\frac{x+4}{5}[/tex]
Replace y = [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(x) = -\frac{x+4}{5}[/tex]
PLS PLEASE HELP!!!!!!
Evaluate 18 + 4 ÷ 2 − 8. (5 points) 2 8 12 3
18 + 4 ÷ 2 − 8
Following PEDMAS, divide first:
18 + 2 -8
Now add and subtract to get the final answer:
18+2 = 20
20-8 = 12
The answer is 12
Answer:
12
Step-by-step explanation:
Write this in equation form!!!
Two less than the product of 5 and a number is -12
PLEASE ANSWER QUICKLY AND ACCURATELY WILL MARK BRAINLIESY
Answer:
(5x) - 2 = -12
Step-by-step explanation:
hope that helps
Answer:
-12
Step-by-step explanation:
At the same time, Sam and Fred who are 168 miles apart begin moving toward each other. Find the number of hours before they meet if Sam runs 12 mph and Fred runs 9 mph.
Hi I'mjust tryna get points for my sister this is actually the first time i use this app but yea, sorry if you got disappointed.
Drag each value to the correct location on the equation. Each value can be used more than once.
Answer:
[tex]x=\frac{-b\pm \sqrt{b^{2}-4ac } }{2a}[/tex]
Step-by-step explanation:
If a quadratic equation is in the form of ax²+ bx + c = 0
Then the roots of this quadratic equation can be obtained by,
1). Factoring the expression.
2). By quadratic formula.
If we use the method to get the value of x or roots of the equation,
x = [tex]\frac{-b\pm \sqrt{b^{2}-4ac } }{2a}[/tex]
where a, b and c are the coefficients used in the quadratic equation.
Identify each function as linear, quadratic, or exponential. ƒ(x) = 4x2 g(x) = 1 - x h(x) = 32x
Answer:
f(x) is quadratic. g(x) and h(x) are linear.
Step-by-step explanation:
So we have the three functions:
[tex]f(x)=4x^2\\g(x)=1-x\\h(x)=32x[/tex]
Linear functions are polynomials in which the highest degree is 1.
Quadratic functions are polynomials in which the highest degree is 2.
And exponential functions usually have a variable in the exponent (e.g. 2^x).
For f(x), the highest degree is 2. Thus, f(x) is a quadratic function.
For g(x), the highest degree is 1 and there are no variables in the exponent. Thus, g(x) is a linear function.
Similarly, for h(x), the highest degree is 1 and there are no variables in the exponents, so h(x) is also a linear function.
Which is the correct label for the volume of a solid figure?
units squared (i.e. m2)
units cubed (i.e. m3)
Answer:
Volume is units cubed
area is units squared
Units cubed will be the correct label.
We have a solid figure.
We have to determine the correct unit of labelling for this figure.
What is difference between Area and Volume?An area is a two - dimensional quantity that encloses all two -dimensional coordinate points using a single dimensional entity. Example - circle.
Volume is a three - dimensional quantity that encloses all the points in the three - dimensional space using a two - dimensional entity.
The volume makes use of three different dimensions to enclose points inside it. Due to this we cannot label the unit as units squared as it represents only two dimensions ([tex]m^{2}[/tex]), whereas units cubed represents three dimensions ([tex]m^{3}[/tex]).
Hence, units cubed will be the correct label.
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HELP MEH HELP MEH PLZ
Answer:
[2×10*(-3) × (4×10*(4)] = 80
Step-by-step explanation:
First of all 0.002 is 10*(-3) and not 10(-2) , so you can eliminate the first 2 answers.
Second of all, according to the calculator the left equation is correct, while the right one isn't... so there you go
Glad to help :)
Albert has 40 toy cars. Brad has 15 fewer toy cars than Albert, but 7 more than Chris. How many toy cars do they have all together?
Answer:
83
Step-by-step explanation:
40 - 15 = 25
25 - 7 = 18
40 + 25 + 18 =
83
We know that Albert has 40 toy cars.
If Brad has 15 fewer cars than Albert, Brad has 40 - 15 or 25 cars.
Now, we know that Chris has 7 fewer cars than Brad.
So Chris would have 18 cars.
Altogether, they would have 40 + 25 + 18 cars or 83 cars.
-15 POINTS- A company makes wax candles shaped like rectangular prisms. Each candle is 5cm long, 4cm wide, and 12cm tall. If the company used 3840 cm³ of wax, how many candles did they make?
Answer:
16 candles
Step-by-step explanation:
first you must know what the volume of the rec prism is so multiply the b*h*w and you will have 240. divide 3840 by 240 and you will have 16
Answer:
16
Step-by-step explanation:
We need to find out the area of each candle. We can do this by multiplying all the lengths out and getting 240 [tex]cm^3[/tex] per candle. Now we divide 3840, the total amount of wax used, by 240 the amound needed for one candle, and we get 16. This means 16 candles were made.
The sum of two mixed numbers with unlike denominators is 5 3/5. What might the two mixed numbers be? Show as many different solutions as you can.
https://www.calculatorsoup.com/calculators/math/mixednumbers.php
this site is a fraction calculator, it what i use try it!
HURRY !!! PLEASE HELP!!
Kellianne lined up the interior angles of the triangle along line p below.
Which statements are true for line p? Check all that apply.
It is a straight line with a measure of 360°.
It stays the same even if the angles in the triangle change.
The line will not be straight if one of the angles in the triangle is changed to an obtuse angle.
The line is only straight when one of the angles is a right angle.
It represents the sum of the measures of the interior angles of the triangle.
The line will not be straight if all the angles in the triangle are acute.
It combines the three interior angles of the triangle to form a straight line.
It is a straight line with a measure of 180°
Answer:
2. it stays the same even if the angles in the triangle change
a. the angles must add up to 180º. a straight line is equal to 180º, so as long as the angles add up to 180º, it will be a straight line.
5. it represents the sum of the measures of the interior angles of the triangle
a. Kellianne lined up the interior angles of the triangle. if added they equal 180º which is the measure of the straight line.
7. it combines the three interior angles of the triangle to form a straight line
a. same answers as previous
8. it is a straight line with a measure of 180º
a. refer to above
hope this helps :)
Answer:
B E H
Step-by-step explanation:
What is the relationship between Za and Zb
A- vertical angles
B- complementary angles
C-supplementary angles
D-none of the above
their sum is 90° so they're complementary
Please Help Will Mark as Brainlist
Answer:
Hey there!
We can write this equation: 2x+4x=180
6x=180
x=30
Hope this helps :)
The two angles are supplementary angles. When added together they equal 180 degrees.
2x + 4x = 180
Combine like terms:
6x = 180
Divide both sides by 6:
X = 180/6
X = 30
The two points on the coordinate plane represent Jane's house and her friend's house. Find the distance between the houses. Question 3 options: A) units B) units C) units D) units
Oh my god im so sorry i didnt mean to copy and paste my question here
A deli sandwich shop is offering either a ham or turkey sandwich, either tomato or vegetable soup, and either coffee or milk for their lunch special. What is the probability that a customer will choose vegetable soup as part of the chosen combination? A. 1/4 B.1/3 C.1/2 D.1/6
Answer:
1/2
Step-by-step explanation:
Which table represents a linear function? A, B, C, D
Answer:
Table B represents a linear function.
Step-by-step explanation:
Table B is a linear function because y goes up by a constant, steady rate of 4 every time x goes up by one.
Which of the following is true? three and two fifths plus four and two sevenths equals seven and four twelves two and five eighths plus six and one sixth equals eight and six twenty fourths four and eight tenths plus five and two sixths equals ten and eight sixtieths six and seven twelves plus three and nineteen twenty fourths equals nine and nine twenty fourths
Answer: The answer is c
Step-by-step explanation:
So sorry I really need help
Answer:
(2 x 2 x 2) x (0.03125)
Step-by-step explanation:
2) A furlong is 1/8 of a mile. What part of a mile is 4 furlongs?
Answer:
1/2 mile
Step-by-step explanation:
(1/8)*4 = 1/2 mile
Answer:
4/8 or 1/2
Step-by-step explanation:
becuase 4 times 1/8 is 4/8 which is 1/2
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Classwork for Alge.
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Reade
18
The curved parts of the figure are arcs centered at points A and C. What is the approximate length of boundary ABCD? Use the value = 3
and round the answer to one decimal place.
5
С
30°
А
120°
5
Answer:
The correct answer is
C. 23.1
Step-by-step explanation:
i think this is correct